JEE Advanced questions
829 published questions with worked solutions.
- Let f: [0, 2] R be the function defined by f(x) = (3 - (2 x)) ( x - 4 ) - (3 x + 4 ). If , [0, 2] are such that x [0, 2] : f(x) 0...
- In a triangle PQR, let a = QR , b = RP and c = PQ . If | a | = 3, | b | = 4 and a ( c - b ) c ( a - b ) = | a | | a |+| b | ,...
- For a polynomial g(x) with real coefficients, let m_g denote the number of distinct real roots of g(x). Suppose S is the set of...
- Let e denote the base of the natural logarithm. The value of the real number a for which the right hand limit _ x 0^+ (1-x)^ 1 x...
- A train with cross-sectional area S_t is moving with speed v_t inside a long tunnel of cross-sectional area S_0 (S_0 = 4S_t)....
- A hot air balloon is carrying some passengers, and a few sandbags of mass 1 kg each so that its total mass is 480 kg. Its...
- In an X-ray tube, electrons emitted from a filament (cathode) carrying current I hit a target (anode) at a distance d from the...
- Two identical non-conducting solid spheres of same mass and charge are suspended in air from a common point by two...
- Starting at time t = 0 from the origin with speed 1 ms ^ -1 , a particle follows a two-dimensional trajectory in the x-y plane so...
- A spherical bubble inside water has radius R. Take the pressure inside the bubble and the water pressure to be p_0. The bubble...
- Two capacitors with capacitance values C_1 = 2000 10 pF and C_2 = 3000 15 pF are connected in series. The voltage applied across...
- A cubical solid aluminium (bulk modulus = -V dP dV = 70 GPa) block has an edge length of 1 m on the surface of the earth. It is...
- A container with 1 kg of water in it is kept in sunlight, which causes the water to get warmer than the surroundings. The average...
- An organic compound ( C _8 H _ 10 O _2) rotates plane-polarized light. It produces pink color with neutral FeCl _3 solution. What...
- Which among the following statement(s) is(are) true for the extraction of aluminium from bauxite?
- Liquids **A** and **B** form ideal solution for all compositions of **A** and **B** at 25 ^ C . Two such solutions with 0.25 and...
- Tin is obtained from cassiterite by reduction with coke. Use the data given below to determine the minimum temperature (in K) at...
- An acidified solution of 0.05 M Zn ^ 2+ is saturated with 0.1 M H _2 S . What is the minimum molar concentration (M) of H ^+...
- For a complex number z, let Re (z) denote the real part of z. Let S be the set of all complex numbers z satisfying z^4 - |z|^4 =...
- The probability that a missile hits a target successfully is 0.75. In order to destroy the target completely, at least three...